Flipping and stabilizing Heegaard splittings
| dc.creator | Johnson, Jesse | |
| dc.date | 2008-05-28 | |
| dc.date.accessioned | 2026-07-07T09:41:31Z | |
| dc.date.available | 2026-07-07T09:41:31Z | |
| dc.description | We show that the number of stabilizations needed to interchange the handlebodies of a Heegaard splitting of a closed 3-manifold by an isotopy is bounded below by the smaller of twice its genus or half its Hempel distance. This is a combinatorial version of a proof by Hass, Thompson and Thurston of a similar theorem, but with an explicit bound in terms of distance. We also show that in a 3-manifold with boundary, the stable genus of a Heegaard splitting and a boundary stabilization of itself is bounded below by the same value. | |
| dc.description | 22 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/0805.4422 | |
| dc.identifier | http://arxiv.org/abs/0805.4422 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161856 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57N10 | |
| dc.title | Flipping and stabilizing Heegaard splittings | |
| dc.type | text |